Can we say something if we look (only) at that output ? The intercept is significatively non-null, as well as the slope, the is large (66%). It looks like we do have a nice model here. And in a perfect world, we might hope that data are coming from this kind of dataset,

But it might be possible to have completely different kinds of patterns. Actually, four differents sets of data are coming from Anscombe (1973). And that all those datasets are somehow equivalent: the 's have the same mean, and the same variance

So clearly, looking at the summary of a regression does not tell us anything... This is why we do spend some time on diagnostic, looking at graphs with the errors (the graphs above could be obtained only with one explanatory variable, while errors can be studied in any dimension): everything can be seen on thise graphs. E.g. for the first dataset,